57 citations · 139 across the 10 of their papers we have counts for
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math.AP2010★ 16 cited
Decay of viscous surface waves without surface tension
Yan Guo, Ian Tice
Consider a viscous fluid of finite depth below the air. In the absence of the surface tension effect at the air-fluid interface, the long time behavior of a free surface with small…
math.AP2010★ 57 cited
A note on the Prandtl boundary layers
Yan Guo, Toan Nguyen
This note concerns a nonlinear ill-posedness of the Prandtl equation and an invalidity of asymptotic boundary-layer expansions of incompressible fluid flows near a solid boundary.…